Droplet migration, deformation, and orientation in the presence of a plane wall: A numerical study compared with analytical theories

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Abstract
The motion of a deformable drop in linear unidirectional shear flow close to a fixed wall is considered using a boundary integral technique for Stokes flow. This problem is solved numerically to circumvent the limitations of existing analytical models, especially in the region near the wall. The lateral and longitudinal disturbance velocities of the particle were calculated and compared with analytical approximations. Although analytical theories give reasonable predictions, large deviations occur at small wall distances and large particle deformations. This is mainly due to the fact that the altered orientation and deformation of the particle, arising from the presence of a wall, is disregarded in all analytical models.

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